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At the n-th iteration the sequence of integers from 1 to n are appended to the sequence a(n) times.
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%I #11 Feb 09 2022 15:29:34

%S 1,1,2,1,2,3,1,2,3,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,6,1,2,3,4,5,

%T 6,1,2,3,4,5,6,1,2,3,4,5,6,7,1,2,3,4,5,6,7,8,1,2,3,4,5,6,7,8,1,2,3,4,

%U 5,6,7,8,9,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,1,2,3,4,5,6,7,8,9,10,1,2,3,4

%N At the n-th iteration the sequence of integers from 1 to n are appended to the sequence a(n) times.

%H Rémy Sigrist, <a href="/A128117/b128117.txt">Table of n, a(n) for n = 1..10258</a> (first 371 terms from Reed Kelly)

%e a(5) = 2 so 1,2,3,4,5,1,2,3,4,5 is added to the end of the sequence at the fifth iteration.

%t cr[n_] := Module[ { A = {1,1,2}, i, j }, For [ i = 3, i <= n, i++, A = Join[ A, Flatten[ Table[ Range[i], {A[[i]]} ]]]; ]; A ]

%o (PARI) a = vector(101, n, 1); m=0; for (n=1, 10, for (t=1, a[n], for (k=1, n, print1 (a[m++]=k", ")))) \\ _Rémy Sigrist_, Feb 09 2022

%Y Cf. A001462.

%K easy,nonn

%O 1,3

%A _Reed Kelly_, Feb 15 2007